Solve each system of equation by elimination
{y=-x+1
{y= 4x-14

(3, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -x + 1

y = 4x - 14

Step 2: Rewrite Systems

y = 4x - 14

Multiply everything by -1:                    -y = -4x + 14

Step 3: Redefine Systems

y = -x + 1

-y = -4x + 14

Step 4: Solve for x

Elimination

Combine equations:                    0 = -5x + 15Isolate x term:                               -15 = -5xIsolate x:                                       3 = xRewrite:                                        x = 3

Step 5: Check

Define equation:                    y = -x + 1Substitute in x:                       y = -3 + 1Add:                                        y = -2